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Finding the Fourth Proportional to 13,992.84, 19,311.21 and 7,706.34

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Solution

The fourth proportional to 13,992.84, 19,311.21 and 7,706.34 is: 10,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.84 : 19,311.21 = 7,706.34 : x
  2. Step 2: Convert to fraction form
    13,992.84/19,311.21 = 7,706.34/x
  3. Step 3: Cross multiply
    13,992.84x = 19,311.21 × 7,706.34
  4. Step 4: Simplify right side
    13,992.84x = 148,818,750.07
  5. Step 5: Solve for x
    x = 148,818,750.07/13,992.84
  6. Step 6: Final answer
    x = 10,635.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.